Neil,
From what you area describing, it sounds like your coach is wired as folllows;
-12v from the chassis batteries is wired directly to the engine starter and the ECU.
- A second line goes to the battery isolator and to the boost start solenoid and then to the chassis battery cut-off switch.
-The generator is tied to the input line of the chassis battery cutoff switch rather than to the output of it.
Thus, the engine, but not the generator, will start when the chassis battery switch is off.
-The house batteries are connected to the isolator and then the boost start solenoid and then to the coach battery cutoff switch.
So, when you press the battery boost switch, you are supplying 12v from the coach batteries to the generator through the boost solenoid. Under normal conditions (chassis batteries connected) the generator gets its 12v from the chassis batteries.
(If wired this way, you should be able to start the generator via the boost switch, even if the house battery switch is off).
Steve